Prove that (cosA - cosB) / (sinA + sinB) = ( sinB - sinA ) / ( cosA + cosB )

Jaya Legge

Jaya Legge

Answered question

2021-02-15

Prove that cosAcosBsinA+sinB=sinBsinAcosA+cosB

Answer & Explanation

Nathaniel Kramer

Nathaniel Kramer

Skilled2021-02-16Added 78 answers

Cross-multiply:
cos2Acos2B=sin2Bsin2A=1cos2B(1cos2A)=cos2Acos2B,
which is an identity, proving the original equivalence.

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